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| Chapter 1: Concerning definitions | 94 |
| Chapter 2: Concerning postulates and common notions | 111 |
| Chapter 3: Concerning common, useless conclusions | 116 |
| Chapter 4: Concerning necessary demonstrations | 118 |
| Chapter 5: Concerning demonstration through experience | 121 Bacon often emphasizes "experientia" or experimental knowledge as a necessary counterpart to logical reasoning. |
| Chapter 6: Concerning certain propositions with their demonstrations | 125 |
| Chapter 7: Concerning other propositions | 126 |
| Chapter 1: Concerning proportional means | 129 Proportional means are values between two numbers that form a geometric progression. |
| Chapter 2: Containing necessary propositions | 140 |
| Chapter 1: Concerning the utility of these means | 144 |
| Chapter 2: Concerning the arithmetic mean | 148 |
| Chapter 3: Concerning the harmonic mean | 150 The harmonic mean is often used in the study of music theory and physical proportions. |
| Chapter 5: Concerning collateral means | 152 The table skips Chapter 4, likely a printer error or a missing section in the original manuscript. |